Long-time existence of classical solutions to the Klein-Gordon-Dirac equation in three space dimensions

Thesis/Dissertation · Tue Dec 31 23:00:00 EST 1985

OSTI ID:6988379

Kosecki, R

This thesis studies the almost global existence of classical solutions to the nonlinear hyperbolic system. More precisely, with the system of the Klein-Gordon and wave equations coupled by the nonlinear terms of at least second degree are dealt with. Conditions are given that guarantee the almost global existence of the solutions of the system. It is also shown that the rate of decay of these solutions, for almost global time, is the same,as the rate of the decay of the linear Klein-Gordon and the linear wave equations. The result is applied to prove almost global existence of the Klein-Gordon-Dirac equations of the relativistic quantum mechanics.

• Research Organization: New York Univ., NY (USA)
• OSTI ID: 6988379
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
KLEIN-GORDON EQUATION
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM MECHANICS
RELATIVISTIC RANGE
WAVE EQUATIONS